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Finding the Third Proportional to 405,148 and 888,056

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Solution

The third proportional to 405,148 and 888,056 is: 1,946,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,148 : 888,056 = 888,056 : x
  2. Step 2: Convert to fraction form
    405,148/888,056 = 888,056/x
  3. Step 3: Cross multiply
    405,148x = 888,056 × 888,056
  4. Step 4: Simplify right side
    405,148x = 788,643,459,136
  5. Step 5: Solve for x
    x = 788,643,459,136/405,148
  6. Step 6: Final answer
    x = 1,946,556.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.